100113321 has 48 divisors (see below), whose sum is σ = 171350208. Its totient is φ = 51408000.

The previous prime is 100113313. The next prime is 100113329. The reversal of 100113321 is 123311001.

It is an interprime number because it is at equal distance from previous prime (100113313) and next prime (100113329).

It is not a de Polignac number, because 100113321 - 2³ = 100113313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100113297 and 100113306.

It is not an unprimeable number, because it can be changed into a prime (100113329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163011 + ... + 163623.

It is an arithmetic number, because the mean of its divisors is an integer number (3569796).

Almost surely, 2^100113321 is an apocalyptic number.

100113321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100113321 is a deficient number, since it is larger than the sum of its proper divisors (71236887).

100113321 is a wasteful number, since it uses less digits than its factorization.

100113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100113321 is about 10005.6644457027. The cubic root of 100113321 is about 464.3341470038.

Adding to 100113321 its reverse (123311001), we get a palindrome (223424322).

The spelling of 100113321 in words is "one hundred million, one hundred thirteen thousand, three hundred twenty-one".